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Nonexistence of Global Weak Solutions of Nonlinear Keldysh Type Equation with One Derivative Term
Published 2018-01-01“…We focus on the nonexistence of global weak solutions of nonlinear Keldysh type equation with one derivative term. …”
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22
A mathematical analysis to the approximate weak solution of the Smagorinsky Model for different flow regimes
Published 2024-01-01Subjects: Get full text
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23
Weak Solutions for a Sixth Order Cahn-Hilliard Type Equation with Degenerate Mobility
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24
Weak Solutions for a Second Order Dirichlet Boundary Value Problem on Time Scale
Published 2013-01-01“…We adopt the Leray-Schauder degree theory and critical point theory to consider a second order Dirichlet boundary value problem on time scales and obtain some existence theorems of weak solutions for the previous problem.…”
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25
Weak Solutions of a Coupled System of Urysohn-Stieltjes Functional (Delayed) Integral Equations
Published 2018-01-01“…We study the existence of weak solutions for the coupled system of functional integral equations of Urysohn-Stieltjes type in the reflexive Banach space E. …”
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26
A Note on the Regularity Criterion of Weak Solutions of Navier-Stokes Equations in Lorentz Space
Published 2012-01-01“…This paper is concerned with the regularity of Leray weak solutions to the 3D Navier-Stokes equations in Lorentz space. …”
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27
On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave Equation
Published 2014-01-01“…Assuming that the initial value v0(x) belongs to the space H1(R), we prove the existence of global weak solutions for a weakly dissipative hyperelastic rod wave equation in the space C([0,∞)×R)⋂L∞([0,∞);H1(R)). …”
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28
Large Time Behavior for Weak Solutions of the 3D Globally Modified Navier-Stokes Equations
Published 2014-01-01“…This paper is concerned with the large time behavior of the weak solutions for three-dimensional globally modified Navier-Stokes equations. …”
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29
The Unique Existence of Weak Solution and the Optimal Control for Time-Fractional Third Grade Fluid System
Published 2018-01-01“…We first establish unique existence criterion of weak solutions in the case that the dimension n=3. Then we prove the sufficient condition of optimal pairs.…”
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30
A Wave Equation Associated with Mixed Nonhomogeneous Conditions: The Compactness and Connectivity of Weak Solution Set
Published 2007-01-01“…The purpose of this paper is to show that the set of weak solutions of the initial-boundary value problem for the linear wave equation is nonempty, connected, and compact.…”
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Weak solutions of unconditionally stable second-order difference schemes for nonlinear sine-Gordon systems
Published 2024-12-01Subjects: Get full text
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33
Existence and Uniqueness of Weak Solutions for a New Class of Convex Optimization Problems Related to Image Analysis
Published 2021-01-01“…After that, the existence and uniqueness of weak solutions for the corresponding Euler–Lagrange equation are proven in an appropriate functional space, and a consistent and stable numerical model is also shown. …”
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On the Differentiability of Weak Solutions of an Abstract Evolution Equation with a Scalar Type Spectral Operator on the Real Axis
Published 2018-01-01“…Also, proved is the following inherent smoothness improvement effect explaining why the case of the strong finite differentiability of the weak solutions is superfluous: if every weak solution of the equation is strongly differentiable at 0, then all of them are strongly infinite differentiable on R.…”
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35
Existence of a weak solution to a regularized moving boundary fluid-structure interaction problem with poroelastic media
Published 2023-05-01“…Namely, in [1] we will show that, in the case of a Biot poroviscoelastic matrix, the moving boundary problem obtained in the singular limit as the thickness of the plate tends to zero, has a weak solution.…”
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36
On Existence of Multiplicity of Weak Solutions for a New Class of Nonlinear Fractional Boundary Value Systems via Variational Approach
Published 2021-01-01“…More precisely, we establish the existence of at least three weak solutions for the problem using variational methods combined with the critical point theorem due to Bonano and Marano. …”
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37
Nonstationary Heat Equation with Nonlinear Side Condition
Published 2025-01-01Subjects: “…nonstationary heat equation, inverse problem, very weak solution, nonlinear side condition…”
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38
Existence and blow up for viscoelastic hyperbolic equations with variable exponents
Published 2024-10-01Subjects: Get full text
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39
Boundary value problems for partial differential equations with piecewise contant delay
Published 1991-01-01Subjects: Get full text
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40
The topological degree method for equations of the Navier-Stokes type
Published 1997-01-01Subjects: “…Weak solutions…”
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